Solve the equation.
-$$4 ^{( 3 x - 5 )} = 256$$
A) $\{ 128 \}$
B) $\{ 3 \}$
C) $\{ - 3 \}$
D) $\left\{ \frac { 1 } { 64 } \right\}$

Question

Quizplus · Accepted Answer

First, recognize that $256 = 4^4$. So, we can rewrite the equation as $4^{3x-5} = 4^4$. Since the bases are the same, we can set the exponents equal to each other: $3x - 5 = 4$. Solving for $x$, we add 5 to both sides to get $3x = 9$, and then divide by 3 to find $x = 3$.

Solve the Equation 4(3x−5)=2564 ^{( 3 x - 5 )} = 2564(3x−5)=256

Solve the Equation $4 ^{( 3 x - 5 )} = 256$